Equivariant multiplications and idempotent splittings of > G-spectra
1 hour 6 mins,
121.41 MB,
MP3
44100 Hz,
251.15 kbits/sec
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About this item
| Description: |
Böhme, B
Tuesday 9th October 2018 - 15:30 to 16:30 |
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| Created: | 2018-10-16 12:47 |
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| Collection: | Higher structures in homotopy theory |
| Publisher: | Isaac Newton Institute |
| Copyright: | Böhme, B |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
|
| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | My PhD research concerns multiplicative phenomena in > equivariant stable homotopy theory. Equivariantly with respect to a > finite group G, there are many different notions of a commutative ring > spectrum. The idempotent summands of the genuine equivariant versions > of the sphere spectrum and the topological K-theory spectra provide > natural examples of such objects. I give a complete characterization > of the best possible equivariant commutative ring structures on these > summands. As an important step in my approach, I establish a > classification of the idempotent elements in the (p-local) > representation ring of G, which may be of independent interest. |
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